Fractional Control Systems

2016 ◽  
pp. 139-217 ◽  
Author(s):  
Yong Zhou
Keyword(s):  
Control Systems ◽  
Fractional Control

Adaptive gain-order fractional control for network-based applications

2014 ◽  
Vol 17 (2) ◽  
Author(s):  
Inés Tejado ◽  
S. HosseinNia ◽  
Blas Vinagre
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Adaptive Controller ◽  
System Stability ◽  
Switching Systems ◽  
Time Varying ◽  
Control Performance ◽  
Velocity Control ◽  
Fractional Control ◽  
Gain Scheduled

AbstractThis paper deals with the application of adaptive fractional order control to networked control systems (NCSs) to compensate the effects of time-varying network-induced delays. In essence, it adapts both the gains and the orders of a local PIαDμ controller in accordance with the current network condition in order to avoid a decreased control performance. A frequency domain framework is provided to analyze the system stability on the basis of the switching systems theory. The velocity control of a servomotor through the Internet is given to show the effectiveness of the proposed adaptive controller, including a comparison with non- and gain scheduled controllers.

scholarly journals Approximate Controllability of Fractional Integrodifferential Evolution Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
R. Ganesh ◽  
R. Sakthivel ◽  
N. I. Mahmudov ◽  
S. M. Anthoni
Keyword(s):  
Control System ◽  
Control Systems ◽  
Approximate Controllability ◽  
Evolution Equations ◽  
Semigroup Theory ◽  
Nonlocal Conditions ◽  
Sufficient Conditions ◽  
Approximately Controllable ◽  
Fractional Control ◽  
Lipschitz Conditions

This paper addresses the issue of approximate controllability for a class of control system which is represented by nonlinear fractional integrodifferential equations with nonlocal conditions. By using semigroup theory,p-mean continuity and fractional calculations, a set of sufficient conditions, are formulated and proved for the nonlinear fractional control systems. More precisely, the results are established under the assumption that the corresponding linear system is approximately controllable and functions satisfy non-Lipschitz conditions. The results generalize and improve some known results.

The Controllability of Switched Linear Fractional Control Systems

2013 ◽  
Vol 278-280 ◽  
pp. 1635-1638
Author(s):  
Mao Jun Bin ◽  
Yi Liang Liu
Keyword(s):  
Control Systems ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Controllability Of Systems ◽  
Fractional Control ◽  
Necessary And Sufficient

This paper is concerned with the controllability of switched linear fractional control systems, and the solutions of expression, necessary and sufficient conditions for the controllability of systems are given later.

A Robust Algorithm for Nonlinear Variable-Order Fractional Control Systems with Delay

2018 ◽  
Vol 19 (3-4) ◽  
pp. 231-238 ◽  
Author(s):  
José António Tenreiro Machado ◽  
Behrouz Parsa Moghaddam
Keyword(s):  
Control Systems ◽  
High Accuracy ◽  
Finite Difference Approximation ◽  
Difference Approximation ◽  
Variable Order ◽  
The Novel ◽  
Fractional Differentiation ◽  
Nonlinear Feedback ◽  
The Stability ◽  
Fractional Control

AbstractIn this paper, we propose a high-accuracy linear B-spline finite-difference approximation for variable-order (VO) derivative. We consider VO fractional differentiation as a control parameter for improving the stability in systems exhibiting vibrations. The method is applied to nonlinear feedback with VO fractional derivative. The results demonstrate the efficiency and high accuracy of the novel algorithm.

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